Question

If in division algorithm \( a = bq + r \), \( b = 61 \), \( q = 27 \), and \( r = 32 \), what is the value of \( a \)?

• A. 1679
• B. 1600
• C. 1669
• D. 1696

Hint:

Use the division algorithm formula \( a = bq + r \) to calculate the dividend.

Answer 1

The Correct Option is A

Step 1: According to the division algorithm, the formula is: \[ a = bq + r \] Step 2: Substitute the given values: \[ a = 61 \times 27 + 32 = 1647 + 32 = 1679 \] Thus, the correct answer is 1679.